1114264800 has 324 divisors, whose sum is σ = 4322223360. Its totient is φ = 269913600.

The previous prime is 1114264799. The next prime is 1114264843. The reversal of 1114264800 is 84624111.

It is a happy number.

1114264800 is a `hidden beast` number, since 1 + 1 + 14 + 2 + 648 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870561 + ... + 871839.

Almost surely, 2^1114264800 is an apocalyptic number.

1114264800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161111680).

1114264800 is an abundant number, since it is smaller than the sum of its proper divisors (3207958560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1114264800 is a wasteful number, since it uses less digits than its factorization.

1114264800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1114264800 is about 33380.6051473007. The cubic root of 1114264800 is about 1036.7231674603.

Adding to 1114264800 its reverse (84624111), we get a palindrome (1198888911).

The spelling of 1114264800 in words is "one billion, one hundred fourteen million, two hundred sixty-four thousand, eight hundred".